What is the Greatest Common Factor of 59052 and 59070?

Greatest common factor (GCF) of 59052 and 59070 is 6.

GCF(59052,59070) = 6

We will now calculate the prime factors of 59052 and 59070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59052 and 59070.

How to find the GCF of 59052 and 59070?

We will first find the prime factorization of 59052 and 59070. After we will calculate the factors of 59052 and 59070 and find the biggest common factor number .

Step-1: Prime Factorization of 59052

Prime factors of 59052 are 2, 3, 7, 19, 37. Prime factorization of 59052 in exponential form is:

59052 = 2² × 3¹ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 59070

Prime factors of 59070 are 2, 3, 5, 11, 179. Prime factorization of 59070 in exponential form is:

59070 = 2¹ × 3¹ × 5¹ × 11¹ × 179¹

Step-3: Factors of 59052

List of positive integer factors of 59052 that divides 59052 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 37, 38, 42, 57, 74, 76, 84, 111, 114, 133, 148, 222, 228, 259, 266, 399, 444, 518, 532, 703, 777, 798, 1036, 1406, 1554, 1596, 2109, 2812, 3108, 4218, 4921, 8436, 9842, 14763, 19684, 29526

Step-4: Factors of 59070

List of positive integer factors of 59070 that divides 59052 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 179, 330, 358, 537, 895, 1074, 1790, 1969, 2685, 3938, 5370, 5907, 9845, 11814, 19690, 29535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59052 and 59070. The biggest common factor number is the GCF number.
So the greatest common factor 59052 and 59070 is 6.

Also check out the Least Common Multiple of 59052 and 59070